2005-10-26Buch DOI: 10.18452/2543
How Floquet-theory applies to differential-algebraic equations
Local stability of periodic solutions is established by means of a corresponding Floquet-theory for index-1 differential-algebraic equations. For this, linear differential-algebraic equations with periodic coefficients are considered in detail, and a natural notion of the monodromy matrix is figured out, which generalizes the well-known case of regular ordinary differential equations.
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